留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

故障小修下瞬时可用度的波动分析

任思超 杨懿 陈洋 康锐

任思超, 杨懿, 陈洋, 等 . 故障小修下瞬时可用度的波动分析[J]. 北京航空航天大学学报, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195
引用本文: 任思超, 杨懿, 陈洋, 等 . 故障小修下瞬时可用度的波动分析[J]. 北京航空航天大学学报, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195
REN Sichao, YANG Yi, CHEN Yang, et al. Fluctuation analysis of instantaneous availability under minor repair[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195(in Chinese)
Citation: REN Sichao, YANG Yi, CHEN Yang, et al. Fluctuation analysis of instantaneous availability under minor repair[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(3): 602-607. doi: 10.13700/j.bh.1001-5965.2016.0195(in Chinese)

故障小修下瞬时可用度的波动分析

doi: 10.13700/j.bh.1001-5965.2016.0195
基金项目: 

国家自然科学基金 61104132

国家自然科学基金 61573041

国家自然科学基金 61573043

详细信息
    作者简介:

    任思超, 男, 硕士研究生。主要研究方向:可靠性分析与建模、应用数学

    杨懿, 女, 博士, 副教授。主要研究方向:可靠性分析、可修系统以及控制科学工程

    康锐, 男, 硕士, 教授, 博士生导师。主要研究方向:确信可靠性理论与方法、信息物理系统可靠性建模与仿真、可靠性系统工程方法论故障控制论

    通讯作者:

    杨懿, E-mail:yang_cissy@163.com

  • 中图分类号: V221+.3;TB553

Fluctuation analysis of instantaneous availability under minor repair

Funds: 

National Natural Science Foundation of China 61104132

National Natural Science Foundation of China 61573041

National Natural Science Foundation of China 61573043

More Information
  • 摘要:

    基于修理延迟下单部件三状态(工作、修理延迟、修理)可修系统的更新模型,提出了带有故障小修的三状态(工作、故障小修、修理)更新模型。运用简捷的方法把更新方程化为微分方程得到其解析表达式。结果显示模型的变化使得稳态可用度提升。使用一套波动理论,其中包括基础的波动定义和相关的波动判定引理。依此给出了瞬时可用度波动产生的条件。通过固定故障率,分析修复率对瞬时可用度波动的影响。同时结合实际背景,提供了抑制波动的方法,即控制平均修理时间小于平均故障时间的1/4。仿真结果与理论相一致。

     

  • 图 1  单部件三状态的更新模型

    Figure 1.  A renewal process for one unit with three states

    图 2  带有故障小修的单部件三状态更新过程

    Figure 2.  A renewal process for one unit with three states under minor repair

    图 3  3种情形下瞬时可用度曲线

    Figure 3.  Curves of instantaneous availability in three cases

    图 4  修复率对瞬时可用度波动的影响

    Figure 4.  Influence of repair rate on fluctuation of instantaneous availability

  • [1] 康锐, 王自立.可靠性系统工程的理论与技术框架[J].航空学报, 2005, 26(5):633-636. http://www.cnki.com.cn/Article/CJFDTOTAL-HKXB200505019.htm

    KANG R, WANG Z L.Framework of theory and technique on reliability system engineering[J].Acta Aeronautica et Astronautica Sinica, 2005, 26(5):633-636(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-HKXB200505019.htm
    [2] BESNARD F, FISCHER K, BERTLING L.Reliability-centred asset maintenance-A step towards enhanced reliability, availability, and profitability of wind power plants[C]//Proceedings of Innovative Smart Grid Technologies Conference Europe.Piscataway, NJ:IEEE Press, 2010:1-8.
    [3] JACKSON D S, KUNZINGER F F.Calculation of system availability using traffic statistics[J].Bell Labs Technical Journal, 2003, 7(3):139-150. doi: 10.1002/bltj.10024
    [4] DVORSKA J, PODIVIN L, LIPP A, et al.GBAS GAST D availability analysis for business aircraft[C]//Proceedings of IEEE Aerospace Conference.Piscataway, NJ:IEEE Press, 2013:1-15.
    [5] TU M H, XIAO L L, XU D X.Maximizing the availability of replicated services in widely distributed systems considering network availability[C]//Proceedings of 7th International Conference on Software Security and Reliability.Piscataway, NJ:IEEE Press, 2013:178-187.
    [6] AMIRI M, PRENOSIL V.General solution for MTTF and steady-state availability of NMR system[C]//Proceedings of 9th International Symposium on Reconfigurable and Communication-Centric Systems-on-Chip.Piscataway, NJ:IEEE Press, 2014:1-4.
    [7] SMITH D T.Calculating the system steady-state availability as a function of subsystem steady-state availability[C]//Proceedings of IEEE Southeastcon.Piscataway, NJ:IEEE Press, 2014:1-3.
    [8] PHAM H.Commentary:Steady-state series-system availability[J].IEEE Transactions on Reliability, 2003, 52(2):146-147. doi: 10.1109/TR.2003.811164
    [9] HUANG K, MI J.Properties and computation of interval availability of system[J].Statistics and Probability Letters, 2013, 83(5):1388-1396. doi: 10.1016/j.spl.2013.01.018
    [10] MACIEJEWSKI H, CABAN D.Estimation of repairable system availability within fixed time horizon[J].Reliability Engineering and System Safety, 2008, 93(1):100-106. doi: 10.1016/j.ress.2006.10.016
    [11] 杨懿. 一般概率分布下系统瞬时可用度离散时间建模分析与应用[D]. 南京: 南京理工大学, 2008: 20-47.

    YANG Y.The instantaneous availability of the systems under discrete time modeling analysis and application in general probability distribution[D].Nanjing:Nanjing University of Science and Technology, 2008:20-47(in Chinese).
    [12] 杨懿, 任思超, 于永利.均匀分布下系统瞬时可用度理论分析[J].北京航空航天大学学报, 2016, 42(1):28-34. http://bhxb.buaa.edu.cn/CN/abstract/abstract13669.shtml

    YANG Y, REN S C, YU Y L.Theory analysis of system instantaneous availability under uniform distribution[J].Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(1):28-34(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract13669.shtml
    [13] 温艳清, 崔利荣, 刘宝亮.修理工带休假的n部件冷贮备可修系统[J].北京航空航天大学学报, 2016, 42(3):569-575. http://bhxb.buaa.edu.cn/CN/abstract/abstract13453.shtml

    WEN Y Q, CUI L R, LIU B L.Cold standby n-component repairable system with repairman vacation[J].Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(3):569-575(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract13453.shtml
    [14] XUE A C, JING Q, LUO L, et al.Instantaneous availability for the protection devices based on non-homogeneous Markov model and a case study[C]//Proceedings of 33rd Chinese Control Conference.Piscataway, NJ:IEEE Press, 2014:6524-6527.
    [15] 林元烈.应用随机过程[M].北京:清华大学出版社, 2002:58-71.

    LIN Y L.Applied stochastic processes[M].Beijing:Tsinghua University Press, 2002:58-71(in Chinese).
    [16] NEIL M, MARQUEZ D.Availability modelling of repairable systems using Bayesian networks[J].Engineering Applications of Artificial Intelligence, 2012, 25(4):698-704. doi: 10.1016/j.engappai.2010.06.003
    [17] 张庆. 带有故障小修的单部件可修系统的预防维修策略[D]. 成都: 西南交通大学, 2012: 19-37.

    ZHANG Q.Preventive maintenance strategy of one-unit repairable system with minor repair[D].Chengdu:Southwest Jiaotong University, 2012:19-37(in Chinese).
    [18] YIN M L, ANGUS J E, TRIVEDI K S.Optimal preventive maintenance rate for best availability with hypo-exponential failure distribution[J].IEEE Transactions on Reliability, 2013, 62(2):351-361. doi: 10.1109/TR.2013.2256672
    [19] DERSIN P, PERONNE A, ARROUM C.Selecting test and maintenance strategies to achieve availability target with lowest life-cycle cost[C]//Proceedings of Reliability and Maintainability Symposium.Piscataway, NJ:IEEE Press, 2008:301-306.
    [20] 程志军, 郭波.机会维修策略下的系统可用度分析[J].数学的实践与认识, 2006, 36(10):137-140. http://www.cnki.com.cn/Article/CJFDTOTAL-SSJS200610019.htm

    CHENG Z J, GUO B.Analysis of system availability under opportunity maintenance steategy[J].Journal of Mathematics in Practice and Theory, 2006, 36(10):137-140(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-SSJS200610019.htm
    [21] 徐文静. 不完全维修条件下的可用度与维修策略分析[D]. 长沙: 国防科学技术大学, 2008: 26-63.

    XU W J.Analysis of maintenance strategy and availability under imperfect repair[D].Changsha:National University of Defense Technology, 2008:26-63(in Chinese).
    [22] 曹晋华, 程侃.可靠性数学引论[M].2版.北京:高等教育出版社, 2012:182-261.

    CAO J H, CHENG K.A mathematical introduction to reliability[M].2nd ed.Beijing:Higher Education Press, 2012:182-261(in Chinese).
    [23] REN S C, YANG Y, XU H L.Fluctuation analysis of instantaneous availability under delay-repair[C]//Proceedings of the 35th Chinese Control Conference.Piscataway, NJ:IEEE Press, 2016:6746-6750.
  • 加载中
图(4)
计量
  • 文章访问数:  684
  • HTML全文浏览量:  3
  • PDF下载量:  453
  • 被引次数: 0
出版历程
  • 收稿日期:  2016-03-11
  • 录用日期:  2016-04-15
  • 刊出日期:  2017-03-20

目录

    /

    返回文章
    返回
    常见问答